Q. 44.5( 8 Votes )

Write the following polynomial in coefficient form.

i. x4 + 16

ii. m5 + 2m2 + 3m + 15

Answer :

i. In the coefficient form of the polynomial, the coefficients of the terms are written from highest power of the variable to lowest power.

x4 + 16 = 1.x4 + 0.x3 + 0.x2 + 0.x + 16


So the coefficient form is as follows:


(1, 0, 0, 0, 16).


ii. In the coefficient form of the polynomial, the coefficients of the terms are written from highest power of the variable to lowest power.


m5 + 2m2 + 3m + 15 = 1.m5 + 0.m4 +0.m3 + 2.m2 + 3.m + 15


So the coefficient form is as follows:


(1, 0, 0, 2, 3, 15).


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